Given Numbers are 146, 154

We can find the LCM of 146, 154 using the brute force method, prime factorization method, or GCD method.

To use brute force method, list the multiples of 146 and 154

Multiples of 146 =146,292,438,584,730,876,1022,1168,1314,1460,1606,1752,1898,2044,2190,2336,2482,

Multiples of 154 =154,308,462,616,770,924,1078,1232,1386,1540,1694,1848,2002,2156,2310,2464,2618,

Now, get the least common multiple of 146, 154 which is 11242

So, the LCM of 146, 154 is 11242.

One method for determining the LCM of 146 and 154 is to compare the prime factorization of each number. You can find the prime factorization for each number by following the instructions below:

Here is 146's prime factorization:

Prime factors of 146 are 2,73.

146 = 2¹×73¹

And this is 154's prime factorization:

Prime factors of 154 are 2, 7,11.

154 = 2¹×7¹×11¹

When comparing the prime factorization of these two numbers, look for the highest power to which each prime factor is raised. In this case, the following primary factors must be considered: 2,73, 7,11

2¹×7¹×11¹×73¹ = 11242

This shows that the LCM of 146 and 154 is 11242.

The first step in determining the Least Common Multiple of 146 and 154 is to generate a list of multiples for each number.

Lets look at the multiples of these two numbers, 146 and 154:

Lets look at the first ten multiples of these numbers, 146 and 154:

146,292,438,584,730,876,1022,1168,1314,2482 are the first ten multiples of 146.

154,308,462,616,770,924,1078,1232,1386,2618 are the first ten multiples of 154.

You can continue to list the multiples of these numbers until you find a match. Once you have found a match, or several matches, the Least Common Multiple is the smallest of these matches. The first matching multiple(s) of 146 and 154, for example, are 1752, 2482, and 2464. 11242 is the least common multiple since it is the smallest.

146 and 154 have an LCM of 11242.

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146 and 154, than apply into the LCM equation.

GCF(146,154) = 2
LCM(146,154) = ( 146 × 154) / 2
LCM(146,154) = 22484 / 2
LCM(146,154) = 11242

1. What is the LCM of 146 and 154?

The LCM of 146 and 154 is 11242.

2. How to find the lowest common multiple of 146 and 154?

To find the lowest common multiple of 146 and 154, we have to get the multip;es of both numbers and identify the least common multiple in them which is 11242.

3. What are the Factors of 146?

Answer: Factors of 146 are 1, 2, 73, 146. There are 4 integers that are factors of 146. The greatest factor of 146 is 146.

4. What are the Factors of 154?

Answer: Factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154. There are 8 integers that are factors of 154. The greatest factor of 154 is 154.

Answer:

Least Common Multiple of 146 and 154 = 11242

Step 1: Find the prime factorization of 146

146 = 2 x 73

Step 2: Find the prime factorization of 154

154 = 2 x 7 x 11

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 11242 = 2 x 7 x 11 x 73

Step 4: Therefore, the least common multiple of 146 and 154 is 11242.